On various Teichmüller spaces of a surface of infinite topological type

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

We show that the length spectrum metric on Teichm\"uller spaces of surfaces
of infinite topological type is complete. We also give related results and
examples that compare the length spectrum Teichm\"uller space with
quasiconformal and the Fenchel-Nielsen Teichm\"uller spaces on such surfaces

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